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Appears in Collections:Computing Science and Mathematics Conference Papers and Proceedings
Peer Review Status: Refereed
Authors: Thomson, Sarah
Verel, Sébastien
Ochoa, Gabriela
Veerapen, Nadarajen
McMenemy, Paul
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Title: On the Fractal Nature of Local Optima Networks
Citation: Thomson S, Verel S, Ochoa G, Veerapen N & McMenemy P (2018) On the Fractal Nature of Local Optima Networks In: , Springer. EvoCOP 2018 - The 18th European Conference on Evolutionary Computation in Combinatorial Optimisation, 4.4.2018 - 6.4.2018, Parma, Italy.
Issue Date: Apr-2018
Series/Report no.: Lecture Notes in Computer Science
Conference Name: EvoCOP 2018 - The 18th European Conference on Evolutionary Computation in Combinatorial Optimisation
Conference Dates: 2018-04-04T00:00:00Z
Conference Location: Parma, Italy
Abstract: A Local Optima Network represents fitness landscape connectivity within the space of local optima as a mathematical graph. In certain other complex networks or graphs there have been recent observations made about inherent self-similarity. An object is said to be self-similar if it shows the same patterns when measured at different scales; another word used to convey self-similarity is fractal. The fractal dimension of an object captures how the detail observed changes with the scale at which it is measured, with a high fractal dimension being associated with complexity. We conduct a detailed study on the fractal nature of the local optima networks of a benchmark combinatorial optimisation problem (NK Landscapes). The results draw connections between fractal characteristics and performance by three prominent metaheuristics: Iterated Local Search, Simulated Annealing, and Tabu Search.
Status: Book Chapter: author post-print (pre-copy editing)
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